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424424122434 = 233137910175773
BaseRepresentation
bin1100010110100011010…
…01100010100001000010
31111120111211212100022000
412023101221202201002
523423210033404214
6522551105524430
742443424342024
oct6132151424102
91446454770260
10424424122434
11153aa7397054
126a30a943716
133103b7738b0
1416783c82014
15b090c65809
hex62d1a62842

424424122434 has 128 divisors (see below), whose sum is σ = 1038770611200. Its totient is φ = 127660665600.

The previous prime is 424424122417. The next prime is 424424122469. The reversal of 424424122434 is 434221424424.

424424122434 is a `hidden beast` number, since 4 + 2 + 4 + 424 + 1 + 224 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5563372 + ... + 5639144.

It is an arithmetic number, because the mean of its divisors is an integer number (8115395400).

Almost surely, 2424424122434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424424122434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519385305600).

424424122434 is an abundant number, since it is smaller than the sum of its proper divisors (614346488766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424424122434 is a wasteful number, since it uses less digits than its factorization.

424424122434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75977 (or 75971 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 424424122434 its reverse (434221424424), we get a palindrome (858645546858).

The spelling of 424424122434 in words is "four hundred twenty-four billion, four hundred twenty-four million, one hundred twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 101 117 158 202 234 237 303 351 474 606 702 711 909 1027 1313 1422 1818 2054 2133 2626 2727 3081 3939 4266 5454 6162 7878 7979 9243 11817 15958 18486 23634 23937 27729 35451 47874 55458 70902 71811 75773 103727 143622 151546 207454 215433 227319 311181 430866 454638 622362 681957 933543 985049 1363914 1867086 1970098 2045871 2800629 2955147 4091742 5601258 5910294 5986067 7653073 8865441 11972134 15306146 17730882 17958201 22959219 26596323 35916402 45918438 53192646 53874603 68877657 77818871 99489949 107749206 137755314 155637742 161623809 198979898 206632971 233456613 298469847 323247618 413265942 466913226 596939694 604592767 700369839 895409541 1209185534 1400739678 1790819082 1813778301 2101109517 2686228623 3627556602 4202219034 5372457246 5441334903 7859705971 10882669806 15719411942 16324004709 23579117913 32648009418 47158235826 70737353739 141474707478 212212061217 424424122434